Question

solve the inequality and graph the solution. 7 + 4m > -5 plot the endpoints. select an endpoint to change it from middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the term with m

Subtract 7 from both sides of the inequality $7 + 4m>-5$.
$7+4m - 7>-5 - 7$
$4m>-12$

Step2: Solve for m

Divide both sides of the inequality $4m > - 12$ by 4.
$\frac{4m}{4}>\frac{-12}{4}$
$m>-3$

To graph the solution:
The inequality $m > - 3$ is a strict - inequality. So, we use an open circle at $m=-3$ on the number - line and draw a ray to the right of $m = - 3$.

Answer:

The solution of the inequality is $m>-3$. On the number - line, we place an open circle at $-3$ and draw a ray to the right.